61714401504 has 384 divisors, whose sum is σ = 205448140800. Its totient is φ = 15804923904.

The previous prime is 61714401493. The next prime is 61714401509. The reversal of 61714401504 is 40510441716.

61714401504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61714401509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91700112 + ... + 91700784.

It is an arithmetic number, because the mean of its divisors is an integer number (535021200).

Almost surely, 2^61714401504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61714401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102724070400).

61714401504 is an abundant number, since it is smaller than the sum of its proper divisors (143733739296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61714401504 is a wasteful number, since it uses less digits than its factorization.

61714401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 61714401504 in words is "sixty-one billion, seven hundred fourteen million, four hundred one thousand, five hundred four".